Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/87547
Type: Artigo
Title: Finite-dimensional representations of twisted hyper-loop algebras
Author: Bianchi, Angelo
Moura, Adriano
Abstract: We investigate the category of finite-dimensional representations of twisted hyper-loop algebras, i.e., the hyperalgebras associated to twisted loop algebras over finite-dimensional simple Lie algebras. The main results are the classification of the irreducible modules, the definition of the universal highest-weight modules, called the Weyl modules, and, under a certain mild restriction on the characteristic of the ground field, a proof that the simple modules and the Weyl modules for the twisted hyper-loop algebras are isomorphic to appropriate simple and Weyl modules for the nontwisted hyper-loop algebras, respectively, via restriction of the action. © 2014 Copyright Taylor & Francis Group, LLC.
We investigate the category of finite-dimensional representations of twisted hyper-loop algebras, i.e., the hyperalgebras associated to twisted loop algebras over finite-dimensional simple Lie algebras. The main results are the classification of the irreducible modules, the definition of the universal highest-weight modules, called the Weyl modules, and, under a certain mild restriction on the characteristic of the ground field, a proof that the simple modules and the Weyl modules for the twisted hyper-loop algebras are isomorphic to appropriate simple and Weyl modules for the nontwisted hyper-loop algebras, respectively, via restriction of the action.
Subject: Representações de álgebras
Hiperálgebras
Lie, Álgebra de
Country: Estados Unidos
Editor: Taylor & Francis
Citation: Communications In Algebra. , v. 42, n. 7, p. 3147 - 3182, 2014.
Rights: fechado
Identifier DOI: 10.1080/00927872.2013.781610
Address: https://www.tandfonline.com/doi/full/10.1080/00927872.2013.781610
Date Issue: 2014
Appears in Collections:IMECC - Artigos e Outros Documentos

Files in This Item:
File Description SizeFormat 
2-s2.0-84897829850.pdf403.09 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.